Find the Power Series for the Function $f ( x ) = \frac { 8 x } { x + 1 }$

question 113

Multiple Choice

Find the power series for the function $f ( x ) = \frac { 8 x } { x + 1 }$ using the power series for $\frac { 1 } { x + 1 }$ .

• A) \(\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n + 1 } 8 x ^ { n + 1 }\)
• B) \(\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } 8 x ^ { n - 1 }\)
• C) \(\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } 8 x ^ { n - 1 }\)
• D) \(\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } 8 x ^ { n + 1 }\)
• E) \(\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } 8 x ^ { n + 1 }\)

Understand the basic components and functionalities of a database system, including tables, queries, forms, and reports.

Identify and select appropriate data types for fields in tables according to the data they will store.

Utilize forms for data entry, understanding their advantages over datasheet views.

Differentiate between various database objects and their purposes within Access.

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Definitions:

Indifferent

A term used in economics and decision theory to describe a situation where an individual or consumer does not prefer one option over another.

Diminishing Marginal

The principle that the marginal benefit of using or consuming one more unit of a good or service decreases as its quantity increases.

Rate

The speed at which a certain event occurs, often expressed as a quantity over time.

Substitution

The act of replacing one thing with another, especially a similar item, in response to changes in market conditions or personal preferences.